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What is the Least Common Multiple of 40427 and 40435?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 40427 and 40435 is 1634665745.

LCM(40427,40435) = 1634665745

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Least Common Multiple of 40427 and 40435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40427 and 40435, than apply into the LCM equation.

GCF(40427,40435) = 1
LCM(40427,40435) = ( 40427 × 40435) / 1
LCM(40427,40435) = 1634665745 / 1
LCM(40427,40435) = 1634665745

Least Common Multiple (LCM) of 40427 and 40435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40427 and 40435. First we will calculate the prime factors of 40427 and 40435.

Prime Factorization of 40427

Prime factors of 40427 are 40427. Prime factorization of 40427 in exponential form is:

40427 = 404271

Prime Factorization of 40435

Prime factors of 40435 are 5, 8087. Prime factorization of 40435 in exponential form is:

40435 = 51 × 80871

Now multiplying the highest exponent prime factors to calculate the LCM of 40427 and 40435.

LCM(40427,40435) = 404271 × 51 × 80871
LCM(40427,40435) = 1634665745